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Theorems · Theorem · order theory

Multiset.sup_zero

∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α], Multiset.sup 0 = ⊥
Defined in
Mathlib.Data.Multiset.Lattice
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
SemilatticeSupOrderBot
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Multiset.sup_le · cited by 3Multiset.sup_leMultiset.nodup_sup_iff · cited by 0Multiset.nodup_sup_iffBot.bot · cited by 4720Bot.botMultiset · cited by 2627MultisetOrderBot · cited by 1055OrderBotSemilatticeSup · cited by 785SemilatticeSupMultiset.sup · cited by 20Multiset.supMultiset.fold_zero · cited by 6Multiset.fold_zeroMultiset.sup_zeroCITED BYCITES

Cites6

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Cited by2

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